所有Sylow子群均为d生成的有限群之生成随机元素期望数上界
群论
2016-03-29 v1
摘要
假设有限群的所有Sylow子群均可由个元素生成。则以有放回方式随机抽取的元素,直至找到一组生成元,所需抽取元素的期望数量至多为,其中
引用
@article{arxiv.1603.08098,
title = {A bound on the expected number of random elements to generate a finite group all of whose Sylow subgroups are d-generated},
author = {Andrea Lucchini},
journal= {arXiv preprint arXiv:1603.08098},
year = {2016}
}